1287966960 has 480 divisors, whose sum is σ = 5299303680. Its totient is φ = 286530048.

The previous prime is 1287966947. The next prime is 1287966961. The reversal of 1287966960 is 696697821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1287966897 and 1287966906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287966961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4550979 + ... + 4551261.

It is an arithmetic number, because the mean of its divisors is an integer number (11040216).

Almost surely, 2^1287966960 is an apocalyptic number.

1287966960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1287966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649651840).

1287966960 is an abundant number, since it is smaller than the sum of its proper divisors (4011336720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1287966960 is a wasteful number, since it uses less digits than its factorization.

1287966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1287966960 is about 35888.2565750971. The cubic root of 1287966960 is about 1088.0150616067.

The spelling of 1287966960 in words is "one billion, two hundred eighty-seven million, nine hundred sixty-six thousand, nine hundred sixty".